28.645 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 0.021 * * [simplify]: iteration 0 : 31 enodes (cost 12 ) 0.022 * * [simplify]: iteration 1 : 168 enodes (cost 11 ) 0.027 * * [simplify]: iteration 2 : 965 enodes (cost 9 ) 0.049 * * [simplify]: iteration 3 : 5001 enodes (cost 8 ) 0.049 * [simplify]: Simplified to: (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.078 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.078 * [taylor]: Taking taylor expansion of 0.25 in i 0.078 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.078 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.078 * [taylor]: Taking taylor expansion of i in i 0.078 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.078 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.078 * [taylor]: Taking taylor expansion of 4.0 in i 0.078 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.078 * [taylor]: Taking taylor expansion of i in i 0.078 * [taylor]: Taking taylor expansion of 1.0 in i 0.080 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.080 * [taylor]: Taking taylor expansion of 0.25 in i 0.080 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.080 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.080 * [taylor]: Taking taylor expansion of i in i 0.080 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.080 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.080 * [taylor]: Taking taylor expansion of 4.0 in i 0.080 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.080 * [taylor]: Taking taylor expansion of i in i 0.080 * [taylor]: Taking taylor expansion of 1.0 in i 0.104 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.104 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.104 * [taylor]: Taking taylor expansion of 0.25 in i 0.104 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.104 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.104 * [taylor]: Taking taylor expansion of i in i 0.104 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.104 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.104 * [taylor]: Taking taylor expansion of 4.0 in i 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.104 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.104 * [taylor]: Taking taylor expansion of i in i 0.105 * [taylor]: Taking taylor expansion of 1.0 in i 0.106 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.106 * [taylor]: Taking taylor expansion of 0.25 in i 0.106 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.106 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.106 * [taylor]: Taking taylor expansion of i in i 0.106 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.106 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.106 * [taylor]: Taking taylor expansion of 4.0 in i 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.106 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.106 * [taylor]: Taking taylor expansion of i in i 0.107 * [taylor]: Taking taylor expansion of 1.0 in i 0.136 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.136 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.136 * [taylor]: Taking taylor expansion of 0.25 in i 0.136 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.136 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.136 * [taylor]: Taking taylor expansion of i in i 0.136 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.136 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.136 * [taylor]: Taking taylor expansion of 4.0 in i 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.136 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.136 * [taylor]: Taking taylor expansion of i in i 0.136 * [taylor]: Taking taylor expansion of 1.0 in i 0.138 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.138 * [taylor]: Taking taylor expansion of 0.25 in i 0.138 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.138 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.138 * [taylor]: Taking taylor expansion of i in i 0.138 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.138 * [taylor]: Taking taylor expansion of 4.0 in i 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.138 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.138 * [taylor]: Taking taylor expansion of i in i 0.139 * [taylor]: Taking taylor expansion of 1.0 in i 0.163 * * * [progress]: simplifying candidates 0.163 * [simplify]: Simplifying using # : (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (+ (log i) (log i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (+ (log i) (log i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (+ (log 2.0) (log 2.0)))) (- (log (* i i)) (+ (log (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (log (* 2.0 2.0)))) (- (log (* i i)) (log (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (* (* (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (* i i)) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)) (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ (* i i) (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (/ (* i i) (* (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (* 2.0 2.0))) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.168 * * [simplify]: iteration 0 : 311 enodes (cost 392 ) 0.174 * * [simplify]: iteration 1 : 1550 enodes (cost 273 ) 0.200 * * [simplify]: iteration 2 : 5001 enodes (cost 273 ) 0.202 * [simplify]: Simplified to: (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (log (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (exp (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (* (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))))) (cbrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (pow (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) 3) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (sqrt (/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))) (- (* i i)) (- (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)) (/ 1 (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0))) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* i i)) (/ (* i i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) i) (/ (* i i) (* (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3)) (* 2.0 2.0))) (/ (* i i) (* (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0)) (* 2.0 2.0))) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.202 * * * [progress]: adding candidates to table 0.245 * * [progress]: iteration 2 / 4 0.245 * * * [progress]: picking best candidate 0.250 * * * * [pick]: Picked # 0.250 * * * [progress]: localizing error 0.258 * * * [progress]: generating rewritten candidates 0.258 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.267 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.289 * * * [progress]: generating series expansions 0.289 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.289 * [approximate]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in (i) around 0 0.289 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.289 * [taylor]: Taking taylor expansion of i in i 0.289 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.289 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.289 * [taylor]: Taking taylor expansion of 4.0 in i 0.289 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.289 * [taylor]: Taking taylor expansion of i in i 0.289 * [taylor]: Taking taylor expansion of 1.0 in i 0.291 * [taylor]: Taking taylor expansion of (/ i (- (* 4.0 (pow i 2)) 1.0)) in i 0.291 * [taylor]: Taking taylor expansion of i in i 0.291 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.291 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.291 * [taylor]: Taking taylor expansion of 4.0 in i 0.291 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.291 * [taylor]: Taking taylor expansion of i in i 0.291 * [taylor]: Taking taylor expansion of 1.0 in i 0.307 * [approximate]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.307 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.307 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.307 * [taylor]: Taking taylor expansion of i in i 0.307 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.307 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.307 * [taylor]: Taking taylor expansion of 4.0 in i 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.307 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.307 * [taylor]: Taking taylor expansion of i in i 0.307 * [taylor]: Taking taylor expansion of 1.0 in i 0.311 * [taylor]: Taking taylor expansion of (/ 1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.311 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.311 * [taylor]: Taking taylor expansion of i in i 0.311 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.311 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.311 * [taylor]: Taking taylor expansion of 4.0 in i 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.311 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.311 * [taylor]: Taking taylor expansion of i in i 0.311 * [taylor]: Taking taylor expansion of 1.0 in i 0.337 * [approximate]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.337 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.337 * [taylor]: Taking taylor expansion of -1 in i 0.337 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.337 * [taylor]: Taking taylor expansion of i in i 0.337 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.337 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.337 * [taylor]: Taking taylor expansion of 4.0 in i 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.337 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.337 * [taylor]: Taking taylor expansion of i in i 0.337 * [taylor]: Taking taylor expansion of 1.0 in i 0.341 * [taylor]: Taking taylor expansion of (/ -1 (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.341 * [taylor]: Taking taylor expansion of -1 in i 0.341 * [taylor]: Taking taylor expansion of (* i (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.341 * [taylor]: Taking taylor expansion of i in i 0.341 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.341 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.341 * [taylor]: Taking taylor expansion of 4.0 in i 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.341 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.341 * [taylor]: Taking taylor expansion of i in i 0.341 * [taylor]: Taking taylor expansion of 1.0 in i 0.372 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.373 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in (i) around 0 0.373 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.373 * [taylor]: Taking taylor expansion of 0.25 in i 0.373 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.373 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.373 * [taylor]: Taking taylor expansion of i in i 0.373 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.373 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.373 * [taylor]: Taking taylor expansion of 4.0 in i 0.373 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.373 * [taylor]: Taking taylor expansion of i in i 0.373 * [taylor]: Taking taylor expansion of 1.0 in i 0.374 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0))) in i 0.374 * [taylor]: Taking taylor expansion of 0.25 in i 0.374 * [taylor]: Taking taylor expansion of (/ (pow i 2) (- (* 4.0 (pow i 2)) 1.0)) in i 0.374 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.375 * [taylor]: Taking taylor expansion of i in i 0.375 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow i 2)) 1.0) in i 0.375 * [taylor]: Taking taylor expansion of (* 4.0 (pow i 2)) in i 0.375 * [taylor]: Taking taylor expansion of 4.0 in i 0.375 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.375 * [taylor]: Taking taylor expansion of i in i 0.375 * [taylor]: Taking taylor expansion of 1.0 in i 0.398 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.398 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.398 * [taylor]: Taking taylor expansion of 0.25 in i 0.398 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.398 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.398 * [taylor]: Taking taylor expansion of i in i 0.398 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.398 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.398 * [taylor]: Taking taylor expansion of 4.0 in i 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.398 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.398 * [taylor]: Taking taylor expansion of i in i 0.399 * [taylor]: Taking taylor expansion of 1.0 in i 0.400 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.400 * [taylor]: Taking taylor expansion of 0.25 in i 0.400 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.400 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.400 * [taylor]: Taking taylor expansion of i in i 0.400 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.400 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.400 * [taylor]: Taking taylor expansion of 4.0 in i 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.400 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.400 * [taylor]: Taking taylor expansion of i in i 0.401 * [taylor]: Taking taylor expansion of 1.0 in i 0.425 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in (i) around 0 0.425 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.425 * [taylor]: Taking taylor expansion of 0.25 in i 0.425 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.425 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.425 * [taylor]: Taking taylor expansion of i in i 0.425 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.425 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.425 * [taylor]: Taking taylor expansion of 4.0 in i 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.425 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.425 * [taylor]: Taking taylor expansion of i in i 0.426 * [taylor]: Taking taylor expansion of 1.0 in i 0.427 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0))) in i 0.427 * [taylor]: Taking taylor expansion of 0.25 in i 0.427 * [taylor]: Taking taylor expansion of (* (pow i 2) (- (* 4.0 (/ 1 (pow i 2))) 1.0)) in i 0.427 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.427 * [taylor]: Taking taylor expansion of i in i 0.427 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow i 2))) 1.0) in i 0.427 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i 0.427 * [taylor]: Taking taylor expansion of 4.0 in i 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i 0.427 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.427 * [taylor]: Taking taylor expansion of i in i 0.428 * [taylor]: Taking taylor expansion of 1.0 in i 0.454 * * * [progress]: simplifying candidates 0.455 * [simplify]: Simplifying using # : (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- i) (- (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) 1) (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 1) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 1) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i 1) (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (- (pow (* (* 2.0 i) (* 2.0 i)) 3) (pow 1.0 3))) (/ i (- (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (* 1.0 1.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (+ (log 2.0) (log 2.0)))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (log (* 2.0 2.0)))) (+ (- (log i) (log (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (* 2.0 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (+ (log 2.0) (log 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- (log i) (log (* 2.0 2.0)))) (+ (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (exp (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (* (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (* (/ (* (* i i) i) (* (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0)))) (* (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (* (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (sqrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (sqrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (/ i (* 2.0 2.0))) (cbrt (/ i (* 2.0 2.0))))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (/ i (* 2.0 2.0)))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 1) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (+ (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))) (+ (* 1.0 1.0) (* (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* i (/ i (* 2.0 2.0))) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))) (+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.25 (/ 1 i)) (* 0.0625 (/ 1 (pow i 3))))) (+ (* 0.015625 (/ 1 (pow i 5))) (+ (* 0.25 (/ 1 i)) (* 0.0625 (/ 1 (pow i 3))))) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.462 * * [simplify]: iteration 0 : 530 enodes (cost 978 ) 0.471 * * [simplify]: iteration 1 : 2493 enodes (cost 842 ) 0.510 * * [simplify]: iteration 2 : 5001 enodes (cost 833 ) 0.515 * [simplify]: Simplified to: (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (log (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (exp (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (pow (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 3) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (- i) (- (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (* (cbrt i) (cbrt i)) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (* (cbrt i) (cbrt i)) (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) (+ (* 2.0 i) (sqrt 1.0))) (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt i) (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) (+ (* 2.0 i) (sqrt 1.0))) (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ 1 (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ 1 (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 1 (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0))) (/ 1 (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (* (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0)))) (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) i (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (cbrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) (sqrt i)) (/ (- (* (* 2.0 i) (* 2.0 i)) 1.0) i) (/ i (+ (- (pow 1.0 3)) (pow (* 2.0 i) 6))) (/ i (+ (- (* 1.0 1.0)) (* (* (pow (* 2.0 i) 3) i) 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (log (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (exp (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (* (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))))) (cbrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (pow (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) 3) (sqrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (sqrt (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))) (pow i 2) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ (sqrt i) 2.0)) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (sqrt (/ i (* 2.0 2.0)))) (/ (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 2.0) (/ (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) 2.0) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (cbrt (/ i (* 2.0 2.0))) (cbrt (/ i (* 2.0 2.0))))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (sqrt (/ i (* 2.0 2.0)))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (* (cbrt i) (cbrt i)) 2.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ (sqrt i) 2.0)) (/ (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) 2.0) (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* (cbrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (sqrt (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (cbrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ (sqrt i) (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (cbrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (sqrt (- (* (* 2.0 i) (* 2.0 i)) 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0))) (/ (/ i (* 2.0 2.0)) (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (* (/ i (* 2.0 2.0)) (+ (* 1.0 (+ 1.0 (* (* 2.0 i) (* 2.0 i)))) (* (* (* 2.0 i) (* 2.0 i)) (* (* 2.0 i) (* 2.0 i))))) (* (+ (* (* 2.0 i) (* 2.0 i)) 1.0) (/ i (* 2.0 2.0))) (* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) i) (* i (/ i (* 2.0 2.0))) (- (+ (* 4.0 (pow i 3)) (+ (* 16.0 (pow i 5)) (* 1.0 i)))) (+ (/ 0.0625 (pow i 3)) (+ (* 0.015625 (/ 1 (pow i 5))) (* 0.25 (/ 1 i)))) (+ (/ 0.0625 (pow i 3)) (+ (* 0.015625 (/ 1 (pow i 5))) (* 0.25 (/ 1 i)))) (- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) (+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625)) 0.515 * * * [progress]: adding candidates to table 0.678 * * [progress]: iteration 3 / 4 0.678 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.693 * * * [progress]: generating rewritten candidates 0.693 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.715 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.726 * * * [progress]: generating series expansions 0.726 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.727 * [approximate]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in (i) around 0 0.727 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in i 0.727 * [taylor]: Taking taylor expansion of 0.25 in i 0.727 * [taylor]: Taking taylor expansion of (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) in i 0.727 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.727 * [taylor]: Taking taylor expansion of i in i 0.727 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 0.727 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 0.727 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.728 * [taylor]: Taking taylor expansion of 2.0 in i 0.728 * [taylor]: Taking taylor expansion of i in i 0.728 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.728 * [taylor]: Taking taylor expansion of 1.0 in i 0.728 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.728 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.728 * [taylor]: Taking taylor expansion of 2.0 in i 0.728 * [taylor]: Taking taylor expansion of i in i 0.728 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.728 * [taylor]: Taking taylor expansion of 1.0 in i 0.735 * [taylor]: Taking taylor expansion of (* 0.25 (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))))) in i 0.735 * [taylor]: Taking taylor expansion of 0.25 in i 0.735 * [taylor]: Taking taylor expansion of (/ (pow i 2) (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)))) in i 0.735 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.735 * [taylor]: Taking taylor expansion of i in i 0.735 * [taylor]: Taking taylor expansion of (* (- (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) in i 0.735 * [taylor]: Taking taylor expansion of (- (* 2.0 i) (sqrt 1.0)) in i 0.735 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.735 * [taylor]: Taking taylor expansion of 2.0 in i 0.735 * [taylor]: Taking taylor expansion of i in i 0.735 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.735 * [taylor]: Taking taylor expansion of 1.0 in i 0.736 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.736 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.736 * [taylor]: Taking taylor expansion of 2.0 in i 0.736 * [taylor]: Taking taylor expansion of i in i 0.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.736 * [taylor]: Taking taylor expansion of 1.0 in i 0.814 * [approximate]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in (i) around 0 0.814 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 0.814 * [taylor]: Taking taylor expansion of 0.25 in i 0.814 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 0.815 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.815 * [taylor]: Taking taylor expansion of i in i 0.815 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 0.815 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.815 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.815 * [taylor]: Taking taylor expansion of 1.0 in i 0.815 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.815 * [taylor]: Taking taylor expansion of 2.0 in i 0.815 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.815 * [taylor]: Taking taylor expansion of i in i 0.816 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 0.816 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.816 * [taylor]: Taking taylor expansion of 2.0 in i 0.816 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.816 * [taylor]: Taking taylor expansion of i in i 0.816 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.816 * [taylor]: Taking taylor expansion of 1.0 in i 0.819 * [taylor]: Taking taylor expansion of (/ 0.25 (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))))) in i 0.819 * [taylor]: Taking taylor expansion of 0.25 in i 0.819 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0)))) in i 0.819 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.819 * [taylor]: Taking taylor expansion of i in i 0.819 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (* 2.0 (/ 1 i))) (- (* 2.0 (/ 1 i)) (sqrt 1.0))) in i 0.819 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.819 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.819 * [taylor]: Taking taylor expansion of 1.0 in i 0.820 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.820 * [taylor]: Taking taylor expansion of 2.0 in i 0.820 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.820 * [taylor]: Taking taylor expansion of i in i 0.820 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i)) (sqrt 1.0)) in i 0.820 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.820 * [taylor]: Taking taylor expansion of 2.0 in i 0.820 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.820 * [taylor]: Taking taylor expansion of i in i 0.820 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.820 * [taylor]: Taking taylor expansion of 1.0 in i 0.872 * [approximate]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in (i) around 0 0.872 * [taylor]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in i 0.872 * [taylor]: Taking taylor expansion of -0.25 in i 0.872 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in i 0.872 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.872 * [taylor]: Taking taylor expansion of i in i 0.872 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.872 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.872 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.872 * [taylor]: Taking taylor expansion of 1.0 in i 0.873 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.873 * [taylor]: Taking taylor expansion of 2.0 in i 0.873 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.873 * [taylor]: Taking taylor expansion of i in i 0.873 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.873 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.873 * [taylor]: Taking taylor expansion of 1.0 in i 0.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.874 * [taylor]: Taking taylor expansion of 2.0 in i 0.874 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.874 * [taylor]: Taking taylor expansion of i in i 0.880 * [taylor]: Taking taylor expansion of (/ -0.25 (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))))) in i 0.880 * [taylor]: Taking taylor expansion of -0.25 in i 0.880 * [taylor]: Taking taylor expansion of (* (pow i 2) (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i))))) in i 0.880 * [taylor]: Taking taylor expansion of (pow i 2) in i 0.880 * [taylor]: Taking taylor expansion of i in i 0.880 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (* 2.0 (/ 1 i))) (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.880 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.880 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.880 * [taylor]: Taking taylor expansion of 1.0 in i 0.881 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.881 * [taylor]: Taking taylor expansion of 2.0 in i 0.881 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.881 * [taylor]: Taking taylor expansion of i in i 0.881 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.881 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.881 * [taylor]: Taking taylor expansion of 1.0 in i 0.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.882 * [taylor]: Taking taylor expansion of 2.0 in i 0.882 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.882 * [taylor]: Taking taylor expansion of i in i 0.928 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.929 * [approximate]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) (sqrt 1.0))) in (i) around 0 0.929 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) (sqrt 1.0))) in i 0.929 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.929 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.929 * [taylor]: Taking taylor expansion of 2.0 in i 0.929 * [taylor]: Taking taylor expansion of i in i 0.929 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.929 * [taylor]: Taking taylor expansion of 1.0 in i 0.931 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) (sqrt 1.0))) in i 0.931 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (sqrt 1.0)) in i 0.931 * [taylor]: Taking taylor expansion of (* 2.0 i) in i 0.931 * [taylor]: Taking taylor expansion of 2.0 in i 0.931 * [taylor]: Taking taylor expansion of i in i 0.931 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.931 * [taylor]: Taking taylor expansion of 1.0 in i 0.954 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in (i) around 0 0.954 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.954 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.954 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.954 * [taylor]: Taking taylor expansion of 1.0 in i 0.955 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.955 * [taylor]: Taking taylor expansion of 2.0 in i 0.955 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.955 * [taylor]: Taking taylor expansion of i in i 0.956 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.956 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.956 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.956 * [taylor]: Taking taylor expansion of 1.0 in i 0.957 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.957 * [taylor]: Taking taylor expansion of 2.0 in i 0.957 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.957 * [taylor]: Taking taylor expansion of i in i 0.975 * [approximate]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (* 2.0 (/ 1 i)))) in (i) around 0 0.975 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.975 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.975 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.975 * [taylor]: Taking taylor expansion of 1.0 in i 0.976 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.976 * [taylor]: Taking taylor expansion of 2.0 in i 0.976 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.976 * [taylor]: Taking taylor expansion of i in i 0.977 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt 1.0) (* 2.0 (/ 1 i)))) in i 0.977 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (* 2.0 (/ 1 i))) in i 0.977 * [taylor]: Taking taylor expansion of (sqrt 1.0) in i 0.977 * [taylor]: Taking taylor expansion of 1.0 in i 0.978 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i 0.978 * [taylor]: Taking taylor expansion of 2.0 in i 0.978 * [taylor]: Taking taylor expansion of (/ 1 i) in i 0.978 * [taylor]: Taking taylor expansion of i in i 0.996 * * * [progress]: simplifying candidates 0.998 * [simplify]: Simplifying using # : (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0)))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- (log (+ (* 2.0 i) (sqrt 1.0)))) (log (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- 0 (log (+ (* 2.0 i) (sqrt 1.0)))) (log (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (- (log 1) (log (+ (* 2.0 i) (sqrt 1.0)))) (log (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (- (log i) (log (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (+ (log 2.0) (log 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (- (log i) (log (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (+ (log (/ i (- (* 2.0 i) (sqrt 1.0)))) (log (/ i (* 2.0 2.0))))) (+ (log (/ 1 (+ (* 2.0 i) (sqrt 1.0)))) (log (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (log (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (exp (* (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (/ (* (* i i) i) (* (* (- (* 2.0 i) (sqrt 1.0)) (- (* 2.0 i) (sqrt 1.0))) (- (* 2.0 i) (sqrt 1.0)))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) 2.0) (* (* 2.0 2.0) 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ (* (* i i) i) (* (* (* 2.0 2.0) (* 2.0 2.0)) (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (/ i (- (* 2.0 i) (sqrt 1.0)))) (* (* (/ i (* 2.0 2.0)) (/ i (* 2.0 2.0))) (/ i (* 2.0 2.0))))) (* (/ (* (* 1 1) 1) (* (* (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)))) (* (* (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 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(+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ 1 (cbrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) 1 (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (/ 1 (+ (* 2.0 i) (sqrt 1.0))) (+ (* 2.0 i) (sqrt 1.0)) (/ 1 (* (cbrt (+ (* 2.0 i) (sqrt 1.0))) (cbrt (+ (* 2.0 i) (sqrt 1.0))))) (/ 1 (sqrt (+ (* 2.0 i) (sqrt 1.0)))) 1 (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)) (+ (* 2.0 i) (sqrt 1.0)) (/ 1 (+ (pow (* 2.0 i) 3) (pow (sqrt 1.0) 3))) (/ 1 (* (+ (* (* 2.0 i) (* 2.0 i)) (- 1.0)) 1)) (- (/ (- (* 1.0 (pow i 4))) (* 1.0 1.0)) (+ (* 4.0 (/ (pow i 6) (pow (sqrt 1.0) 6))) (/ (* 0.25 (pow i 2)) 1.0))) (+ (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4)))) (+ (+ 0.0625 (/ (* 0.015625 1.0) (pow i 2))) (* 0.00390625 (/ (pow (sqrt 1.0) 4) (pow i 4)))) (+ (/ 1 (sqrt 1.0)) (- (* 4.0 (/ (pow i 2) (pow (sqrt 1.0) 3))) (/ (* 2.0 i) 1.0))) (+ (/ (* 0.125 1.0) (pow i 3)) (- (* 0.5 (/ 1 i)) (* 0.25 (/ (sqrt 1.0) (pow i 2))))) (+ (/ (* 0.125 1.0) (pow i 3)) (- (* 0.5 (/ 1 i)) (* 0.25 (/ (sqrt 1.0) (pow i 2))))) 1.080 * * * [progress]: adding candidates to table 1.230 * * [progress]: iteration 4 / 4 1.230 * * * [progress]: picking best candidate 1.232 * * * * [pick]: Picked # 1.232 * * * [progress]: localizing error 1.242 * * * [progress]: generating rewritten candidates 1.242 * * * [progress]: generating series expansions 1.242 * * * [progress]: simplifying candidates 1.242 * [simplify]: Simplifying using # : 1.244 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.244 * [simplify]: Simplified to: 1.244 * * * [progress]: adding candidates to table 1.244 * [progress]: [Phase 3 of 3] Extracting. 1.246 * [simplify]: Simplifying using # : (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (+ (* 2.0 i) (sqrt 1.0))) 1.247 * * [simplify]: iteration 0 : 15 enodes (cost 11 ) 1.247 * * [simplify]: iteration 1 : 15 enodes (cost 11 ) 1.247 * [simplify]: Simplified to: (/ (* (/ i (- (* 2.0 i) (sqrt 1.0))) (/ i (* 2.0 2.0))) (+ (* 2.0 i) (sqrt 1.0))) 1.690 * [regime-testing]: End program error score: 0.0399537928718223